Weighted progressive interpolation of Loop subdivision surfaces

Authors:
Chongyang Deng;Weiyin Ma
Affiliations:
Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, China and Department of Mechanical and Biomedical Engineering, City University of Hong K ...;Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Hong Kong, China
Venue:
Computer-Aided Design
Year:
2012

Citing 16
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Abstract

This paper proposes a weighted progressive method for constructing a Loop subdivision surface interpolating a given mesh. The convergent rate of the weighted progressive interpolation can be controlled by adjusting the weight of the iteration. For different weights in the available range, the limit meshes are the same as that of the reverse solution by directly solving a linear system. The theoretical value for the optimal weight is given based on the smallest eigenvalue of the collocation matrix. An appropriate value of the weight is assigned based on both theoretical analysis and numerical experiments.